Zeros, intercepts, end behavior of a polynomial in vertex form

The video tutorial covers binomials raised to a power, focusing on vertex form and transformations. It explains how to find Y-intercepts and zeros, discusses multiplicity, and analyzes polynomial graphs. The tutorial includes examples of quadratic and cubic functions, highlighting transformations and end behavior. The teacher emphasizes understanding transformations without factoring and provides graph links for further exploration.

What is the vertex form of a quadratic function?

• y = a(x - h)(x - k)

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = ax^3 + bx^2 + cx + d

Why is multiplicity not considered in the given polynomial functions?

• Because they have no real zeros

• Because they are linear functions

• Because they are not in factored form

• Because they are in factored form

How do you find the Y-intercept of a quadratic function?

• Set y to 0

• Set x to 1

• Set x to 0

• Set y to 1

What is the first step in solving a quadratic equation using the square root method?

• Multiply both sides by a constant

• Take the square root of both sides

• Subtract a constant from both sides

• Add a constant to both sides

What transformation occurs when a negative sign is outside the quadratic function?

• Reflect over the X-axis

• Shift up

• Shift down

• Reflect over the Y-axis

How does a negative sign inside the quadratic function affect the graph?

• Reflect over the Y-axis

• Reflect over the X-axis

• Shift left

• Shift right

What is the cube root of 8?

• 3

• 1

• 2

• 4

How many real zeros can a cubic function have?

• One

• Two

• Three

• Four

What is the effect of a horizontal compression by a factor of 3 on a cubic function?

• Shifts the graph down

• Shifts the graph up

• Compresses the graph horizontally

• Stretches the graph vertically

What is the end behavior of a cubic function with a positive leading coefficient?

• Rises left, rises right

• Falls left, falls right

• Rises left, falls right

• Falls left, rises right